134241668718300 has 1296 divisors, whose sum is σ = 519675941611008. Its totient is φ = 28677835929600.

The previous prime is 134241668718293. The next prime is 134241668718427. The reversal of 134241668718300 is 3817866142431.

134241668718300 is a `hidden beast` number, since 1 + 3 + 4 + 241 + 6 + 6 + 87 + 18 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21434080969 + ... + 21434087231.

It is an arithmetic number, because the mean of its divisors is an integer number (400984522848).

Almost surely, 2^{134241668718300} is an apocalyptic number.

134241668718300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134241668718300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259837970805504).

134241668718300 is an abundant number, since it is smaller than the sum of its proper divisors (385434272892708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134241668718300 is a wasteful number, since it uses less digits than its factorization.

134241668718300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 134241668718300 in words is "one hundred thirty-four trillion, two hundred forty-one billion, six hundred sixty-eight million, seven hundred eighteen thousand, three hundred".